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Finding the Fourth Proportional to 992,349,384.30, 1,488,524,076.45 and 992,349,384.30

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Solution

The fourth proportional to 992,349,384.30, 1,488,524,076.45 and 992,349,384.30 is: 1,488,524,076.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    992,349,384.30 : 1,488,524,076.45 = 992,349,384.30 : x
  2. Step 2: Convert to fraction form
    992,349,384.30/1,488,524,076.45 = 992,349,384.30/x
  3. Step 3: Cross multiply
    992,349,384.30x = 1,488,524,076.45 × 992,349,384.30
  4. Step 4: Simplify right side
    992,349,384.30x = 1,477,135,950,780,883,712
  5. Step 5: Solve for x
    x = 1,477,135,950,780,883,712/992,349,384.30
  6. Step 6: Final answer
    x = 1,488,524,076.45

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.